Question

solve for u and graph the solution.
-12 < u - 17 < -7
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Explanation:

Step1: Add 17 to all parts

Add 17 to each part of the inequality $-12 < u - 17 < -7$.
$-12+17 < u-17 + 17 < -7+17$

Step2: Simplify the inequality

Simplify the left - hand side and the right - hand side.
$5 < u < 10$

Answer:

The solution of the inequality is $5 < u < 10$. On the number line, place open circles at $u = 5$ and $u = 10$ and shade the region between them.